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Finding the Fourth Proportional to 2,826.68, 3,900.64 and 1,567.64

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Solution

The fourth proportional to 2,826.68, 3,900.64 and 1,567.64 is: 2,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.68 : 3,900.64 = 1,567.64 : x
  2. Step 2: Convert to fraction form
    2,826.68/3,900.64 = 1,567.64/x
  3. Step 3: Cross multiply
    2,826.68x = 3,900.64 × 1,567.64
  4. Step 4: Simplify right side
    2,826.68x = 6,114,799.29
  5. Step 5: Solve for x
    x = 6,114,799.29/2,826.68
  6. Step 6: Final answer
    x = 2,163.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.